Home
Class 14
MATHS
The largest interger that divides produc...

The largest interger that divides product of any four consecutive integers is

A

4

B

6

C

12

D

24

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The largest natural number, which exactly divides the product of any four consecutive natural numbers, is 6 (b) 12 (c) 24 (d) 120

The product of four consecutive natural numbers plus one is

Consider the following statements: 1. The product of any three consecutive integers is divisible by 6. 2. Any integer can be expressed in one of the three forms 3k,3k+1,3k+2 where k is an integer Which of the above statements is/are correct

The fourth power of common difference of an arithmetic progression with integer entries is added to the product of any four consecutive terms of it.Prove that the resulting sum is the square of an integer.

What name is given to a largest positive integer that divides given two positive integers?

Statement-1: The smallest positive integer n such that n! can be expressed as a product of n-3 consecutive integers, is 6. Statement-2: Product of three consecutive integers is divisible by 6.